BOUND-STATES OF A SEMI-RELATIVISTIC EQUATION FOR THE ${\cal PT}$-SYMMETRIC GENERALIZED HULTHÉN POTENTIAL BY THE NIKIFOROV

BOUND-STATES OF A SEMI-RELATIVISTIC EQUATION FOR THE ${\cal PT}$-SYMMETRIC GENERALIZED HULTHÉN POTENTIAL BY THE NIKIFOROV–UVAROV METHOD

Published:2008-06 Issue:06 Volume:17 Page:1107-1123
ISSN:0218-3013
Container-title:International Journal of Modern Physics E
language:en
Short-container-title:Int. J. Mod. Phys. E

Author:

IKHDAIR SAMEER M.¹,SEVER RAMAZAN²

Affiliation:

1. Department of Physics, Near East University, Nicosia, TRNC, Mersin 10, Turkey

2. Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Abstract

The one-dimensional semi-relativistic equation has been solved for the [Formula: see text]-symmetric generalized Hulthén potential. The Nikiforov–Uvarov (NU) method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type, is used to obtain exact energy eigenvalues and corresponding eigenfunctions. We have investigated the positive and negative exact bound states of the s-states for different types of complex generalized Hulthén potentials.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218301308010337

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